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Simplifying 200 = (x)(x + 10) Reorder the terms: 200 = x(10 + x) 200 = (10 * x + x * x) 200 = (10x + x2) Solving 200 = 10x + x2 Solving for variable 'x'. Reorder the terms: 200 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 200 + -10x + -1x2 = 0 + x2 + -1x2 200 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 200 + -10x + -1x2 = 0 Factor a trinomial. (10 + -1x)(20 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {10, -20}
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